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Let A=int(0)^(1)(e^(x))/(x+1) dx then an...

Let `A=int_(0)^(1)(e^(x))/(x+1)` dx then answer the following questions in terms of A.
Q. `int_(0)^(1)(x^(2)e^(x))/(x+1)dx` equals

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Let A=int_(0)^(1)(e^(x))/(x+1) dx then answer the following questions in terms of A. Q. int_(0)^(1)((x)/(x+1))^(2)e^(x)dx equals

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int_(-1)^(1)e^(2x)dx

int_(0)^(1)e^(2x)e^(e^(x) dx =)

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to

int_(0)^(1)(dx)/(e^(x)+e^(-x))

int_(0)^(1)x e^(x^(2)) dx

If I=int_(0)^(1) (1+e^(-x^2)) dx then, s

int_(0)^(1) (dx)/(e^(x)+e^(-x))

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